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math.DS2025
Bifurcation Analysis of Generalized Hopf Bifurcation in Ordinary and Delay Differential Equations
N. A. M. Delmeire, M. M. Bosschaert, Yu. A. Kuznetsov
The generalized Hopf (Bautin) bifurcation is a well-studied codimension two bifurcation characterized by an equilibrium with a pair of simple purely imaginary eigenvalues as the on…
math.DS2025
Numerical Periodic Normalization at Codim 1 Bifurcations of Limit Cycles in DDEs
M. M. Bosschaert, B. Lentjes, L. Spek +1
Recent work in [53, 54] by the authors on periodic center manifolds and normal forms for bifurcations of limit cycles in delay differential equations (DDEs) motivates the derivatio…